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Volumn 51, Issue 5, 2005, Pages 508-526

A delay recruitment model of the cardiovascular control system

Author keywords

Ageing; Baroreflex control; Cardiovascular; Delay differential equation; Heart rate variability; Hypertension; Mathematical model; Mayer waves

Indexed keywords

ARTICLE; BIOLOGICAL MODEL; BLOOD PRESSURE; FEEDBACK SYSTEM; HEART RATE; HUMAN; MATHEMATICS; PERIODICITY; PHYSIOLOGY; PRESSORECEPTOR REFLEX; VASCULAR RESISTANCE;

EID: 27744597895     PISSN: 03036812     EISSN: 14321416     Source Type: Journal    
DOI: 10.1007/s00285-005-0339-1     Document Type: Article
Times cited : (28)

References (39)
  • 1
    • 0032160367 scopus 로고    scopus 로고
    • Gain-induced oscillations in blood pressure
    • Abbiw-Jackson, R.M., Langford, W.F.: Gain-induced oscillations in blood pressure. J. Math. Biol. 37, 203-234 (1998)
    • (1998) J. Math. Biol. , vol.37 , pp. 203-234
    • Abbiw-Jackson, R.M.1    Langford, W.F.2
  • 4
    • 0032534008 scopus 로고    scopus 로고
    • The arterial baroreceptor reflex of the rat exhibits positive feedback properties at the frequency of Mayer waves
    • London
    • Bertram, D., Barres, C., Cuisinard, G., Julien, C.: The arterial baroreceptor reflex of the rat exhibits positive feedback properties at the frequency of Mayer waves. J. Physiol. - London 513 (1), 251-261 (1998)
    • (1998) J. Physiol. , vol.513 , Issue.1 , pp. 251-261
    • Bertram, D.1    Barres, C.2    Cuisinard, G.3    Julien, C.4
  • 5
    • 0032775519 scopus 로고    scopus 로고
    • Effect of desipramine on spontaneous arterial pressure oscillations in the rat
    • Bertram, D., Barres, C., Julien, C.: Effect of desipramine on spontaneous arterial pressure oscillations in the rat. Eur. J. Pharmacology 378 (3), 265-271 (1999)
    • (1999) Eur. J. Pharmacology , vol.378 , Issue.3 , pp. 265-271
    • Bertram, D.1    Barres, C.2    Julien, C.3
  • 6
    • 0031413421 scopus 로고    scopus 로고
    • First-order differential-delay equation for the baroreflex predicts the 0.4-Hz blood pressure rhythm in rats
    • Burgess, D.E., Hundley, J.C., Li, S-G., Randall, D.C., Brown, D.R.: First-order differential-delay equation for the baroreflex predicts the 0.4-Hz blood pressure rhythm in rats. Am. J. Physiol. 273, R1878-R1884 (1997)
    • (1997) Am. J. Physiol. , vol.273
    • Burgess, D.E.1    Hundley, J.C.2    Li, S.-G.3    Randall, D.C.4    Brown, D.R.5
  • 7
    • 27744575910 scopus 로고    scopus 로고
    • Dynamical modelling of sympathetic and parasympathetic interplay on the baroreceptor heart rate control
    • Cavalcanti, S., Ursino, M.: Dynamical modelling of sympathetic and parasympathetic interplay on the baroreceptor heart rate control. Surv. Math. Ind. 7, 221-237 (1997)
    • (1997) Surv. Math. Ind. , vol.7 , pp. 221-237
    • Cavalcanti, S.1    Ursino, M.2
  • 8
    • 0035865104 scopus 로고    scopus 로고
    • Baroreflex and oscillation of heart period at 0.1 Hz studied by α-blockade and cross-spectral analysis in healthy humans
    • Cevese, A., Gulli, G., Polati, E., Gottin, L., Grasso, R.: Baroreflex and oscillation of heart period at 0.1 Hz studied by α-blockade and cross-spectral analysis in healthy humans. J. Physiol. 531 (1), 235-244 (2001)
    • (2001) J. Physiol. , vol.531 , Issue.1 , pp. 235-244
    • Cevese, A.1    Gulli, G.2    Polati, E.3    Gottin, L.4    Grasso, R.5
  • 9
    • 0020865905 scopus 로고
    • Singularly perturbed delay-differential equations
    • J. Chandra, A.C. Scott (eds.), North-Holland
    • Chow, S.-N., Mallet-Paret, J.: Singularly perturbed delay-differential equations. In: Coupled Nonlinear Oscillators, J. Chandra, A.C. Scott (eds.), North-Holland, 1983
    • (1983) Coupled Nonlinear Oscillators
    • Chow, S.-N.1    Mallet-Paret, J.2
  • 11
    • 0023622017 scopus 로고
    • Hemodynamic fluctuations and baroreflex sensitivity in humans: A beat-to-beat model
    • Heart Circ. Physiol. 22
    • deBoer, R.W., Karemaker, J.M., Strackee, J.: Hemodynamic fluctuations and baroreflex sensitivity in humans: a beat-to-beat model. Am. J. Physiol. 253 (Heart Circ. Physiol. 22), 680-689 (1987)
    • (1987) Am. J. Physiol. , vol.253 , pp. 680-689
    • DeBoer, R.W.1    Karemaker, J.M.2    Strackee, J.3
  • 14
    • 0031404908 scopus 로고    scopus 로고
    • Nonlinear dynamics of the frequency locking of baroreceptor and sympathetic rhythms
    • Regulatory Integrative Comp. Physiol. 42
    • Gebber, G.L., Zhong, S., Zhou, S.-Y., Barman, S.M.: Nonlinear dynamics of the frequency locking of baroreceptor and sympathetic rhythms. Am. J. Physiol. 273 (Regulatory Integrative Comp. Physiol. 42), R1932-R1945 (1997)
    • (1997) Am. J. Physiol. , vol.273
    • Gebber, G.L.1    Zhong, S.2    Zhou, S.-Y.3    Barman, S.M.4
  • 15
    • 0028840192 scopus 로고
    • Effects of beta-adrenergic-blockade on short-term variability of blood-pressure and heart rate in essential hypertension
    • Girard, A., Meilhac, B., Mouniervehier, C., Elghozi, J.L.: Effects of beta-adrenergic-blockade on short-term variability of blood-pressure and heart rate in essential hypertension. Clinical & Exp. Hypertension 17 (Iss 1-2), 15-27 (1995)
    • (1995) Clinical & Exp. Hypertension , vol.17 , Issue.1-2 , pp. 15-27
    • Girard, A.1    Meilhac, B.2    Mouniervehier, C.3    Elghozi, J.L.4
  • 16
    • 0033592401 scopus 로고    scopus 로고
    • Single-unit sympathetic discharge - Quantitative assessment in human hypertensive disease
    • Greenwood, J.P., Stoker, J.B., Mary, D.: Single-unit sympathetic discharge - quantitative assessment in human hypertensive disease. Circulation 100, 1305-1310 (1999)
    • (1999) Circulation , vol.100 , pp. 1305-1310
    • Greenwood, J.P.1    Stoker, J.B.2    Mary, D.3
  • 17
    • 33847146228 scopus 로고
    • Integrative cardiovascular physiology: A mathematical synthesis of cardiac and blood vessel hemodynamics
    • Grodins, F.S.: Integrative cardiovascular physiology: a mathematical synthesis of cardiac and blood vessel hemodynamics. Q. Rev. Biol. 34, 93-116 (1959)
    • (1959) Q. Rev. Biol. , vol.34 , pp. 93-116
    • Grodins, F.S.1
  • 19
    • 0000085280 scopus 로고
    • Pressoreceptor-autonomic oscillation: A probable cause of vasomotor waves
    • Guyton, A.C., Harris, J.W.: Pressoreceptor-autonomic oscillation: a probable cause of vasomotor waves. Am. J. Physiol. 165, 158-166 (1951)
    • (1951) Am. J. Physiol. , vol.165 , pp. 158-166
    • Guyton, A.C.1    Harris, J.W.2
  • 21
    • 0015041152 scopus 로고
    • Integrative neural cardiovascular control
    • Korner, P.: Integrative neural cardiovascular control. Physiol. Rev. 51 (2), 312-367 (1971)
    • (1971) Physiol. Rev. , vol.51 , Issue.2 , pp. 312-367
    • Korner, P.1
  • 22
    • 0026534404 scopus 로고
    • Loss of complexity and aging: Potential applications of fractals and chaos theory to senescence
    • Libsitz, L.A., Goldberger, A.L.: Loss of complexity and aging: Potential applications of fractals and chaos theory to senescence. JAMA 267, 1806-1809 (1992)
    • (1992) JAMA , vol.267 , pp. 1806-1809
    • Libsitz, L.A.1    Goldberger, A.L.2
  • 24
    • 0024410786 scopus 로고
    • Low frequency oscillations in arterial pressure and heart rate: A simple computer model
    • Madwed, J.B., Albrecht, P., Mark, R.G., Cohen, R.J.: Low frequency oscillations in arterial pressure and heart rate: a simple computer model. Am. J. Physiol. 256, H1573-H1579 (1989)
    • (1989) Am. J. Physiol. , vol.256
    • Madwed, J.B.1    Albrecht, P.2    Mark, R.G.3    Cohen, R.J.4
  • 25
    • 27744511912 scopus 로고    scopus 로고
    • Role of the baroreflex in cardiovascular instability: A modeling study
    • Magosso, E., Biavati, V., Ursino, M.: Role of the baroreflex in cardiovascular instability: a modeling study. Cardiov. Eng. 1 (2), 101-115 (2001)
    • (2001) Cardiov. Eng. , vol.1 , Issue.2 , pp. 101-115
    • Magosso, E.1    Biavati, V.2    Ursino, M.3
  • 26
    • 0036082829 scopus 로고    scopus 로고
    • Neural influences on cardiovascular variability: Possibilities and pitfalls
    • Malpas, S.C.: Neural influences on cardiovascular variability: possibilities and pitfalls. Am. J. Physiol. Heart Circ. Physiol. 282, H6-H20 (2002)
    • (2002) Am. J. Physiol. Heart Circ. Physiol. , vol.282
    • Malpas, S.C.1
  • 27
    • 0030063360 scopus 로고    scopus 로고
    • Presence of vasomotor and respiratory rhythms in the discharge of single medullary neurons involved in the regulation of cardiovascular system
    • Montano, N., Gnecchi-Ruscone, T., Porta, A., Lombardi, F., Malliani, A., Barman, S.M.: Presence of vasomotor and respiratory rhythms in the discharge of single medullary neurons involved in the regulation of cardiovascular system. J. Auton. Nerv. Syst. 57, 116-122 (1996)
    • (1996) J. Auton. Nerv. Syst. , vol.57 , pp. 116-122
    • Montano, N.1    Gnecchi-Ruscone, T.2    Porta, A.3    Lombardi, F.4    Malliani, A.5    Barman, S.M.6
  • 29
    • 0031267418 scopus 로고    scopus 로고
    • Modelling of the baroreflex-feedback mechanism with time-delay
    • Ottesen, J.T.: Modelling of the baroreflex-feedback mechanism with time-delay. J. Math. Biol. 36, 41-63 (1997)
    • (1997) J. Math. Biol. , vol.36 , pp. 41-63
    • Ottesen, J.T.1
  • 32
    • 0004125907 scopus 로고
    • A model of neural control of the heart rate
    • Rosenblum, M., Kurths, J.: A model of neural control of the heart rate. Physica A 215, 439-450 (1995)
    • (1995) Physica A , vol.215 , pp. 439-450
    • Rosenblum, M.1    Kurths, J.2
  • 34
    • 0000339310 scopus 로고    scopus 로고
    • Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex
    • Seidel, H., Herzel, H.: Bifurcations in a nonlinear model of the baroreceptor-cardiac reflex. Physica D 115, 145-160 (1998)
    • (1998) Physica D , vol.115 , pp. 145-160
    • Seidel, H.1    Herzel, H.2
  • 35
    • 0036257720 scopus 로고    scopus 로고
    • Ageing is associated with impairment of nitric oxide and prostanoid dilator pathways in the human forearm
    • Lond.
    • Singh, N., Prasad, S., Singer, D.R., MacAllister, R.J.: Ageing is associated with impairment of nitric oxide and prostanoid dilator pathways in the human forearm. Clin. Sci. (Lond). 102 (5), 595-600 (2002)
    • (2002) Clin. Sci. , vol.102 , Issue.5 , pp. 595-600
    • Singh, N.1    Prasad, S.2    Singer, D.R.3    MacAllister, R.J.4
  • 36
    • 33750694324 scopus 로고    scopus 로고
    • Interaction between carotid baroregulation and the pulsating heart: A mathematical model
    • Heart Circ. Physiol. 44
    • Ursino, M.: Interaction between carotid baroregulation and the pulsating heart: a mathematical model. Am. J. Physiol. 275 (Heart Circ. Physiol. 44), H1733-H1747 (1998)
    • (1998) Am. J. Physiol. , vol.275
    • Ursino, M.1
  • 37
    • 0028566363 scopus 로고
    • Role of active changes in venous capacity by the carotid baroreflex: Analysis with a mathematical model
    • Heart Circ. Physiol. 36
    • Ursino, M., Antonucci, M., Belardinelli, E.: Role of active changes in venous capacity by the carotid baroreflex: analysis with a mathematical model. Am. J. Physiol. 267 (Heart Circ. Physiol. 36), H2531-H2546 (1994)
    • (1994) Am. J. Physiol. , vol.267
    • Ursino, M.1    Antonucci, M.2    Belardinelli, E.3
  • 38
    • 0030200518 scopus 로고    scopus 로고
    • The role of pressure pulsatility in the carotid baroreflex control: A computer simulation study
    • Ursino, M., Fiorenzi, A., Belardinelli, E.: The role of pressure pulsatility in the carotid baroreflex control: a computer simulation study. Comput. Biol. Med. 26 (4), 297-314 (1996)
    • (1996) Comput. Biol. Med. , vol.26 , Issue.4 , pp. 297-314
    • Ursino, M.1    Fiorenzi, A.2    Belardinelli, E.3
  • 39
    • 0008203864 scopus 로고
    • an MSc Dissertation in Mathematical Modelling and Numerical Analysis, University of Oxford, September
    • Wattis, J.A.D.: Bifurcations and Chaos in a Differential-Delay Equation, an MSc Dissertation in Mathematical Modelling and Numerical Analysis, University of Oxford, September 1990
    • (1990) Bifurcations and Chaos in a Differential-Delay Equation
    • Wattis, J.A.D.1


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